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Abstract In this paper, we investigate left-invariant geodesic orbit metrics on connected simple Lie groups, where the metrics are formed by the structures of flag manifolds. We prove that all… Click to show full abstract
Abstract In this paper, we investigate left-invariant geodesic orbit metrics on connected simple Lie groups, where the metrics are formed by the structures of flag manifolds. We prove that all these left-invariant geodesic orbit metrics on simple Lie groups are naturally reductive.
Keywords:
geodesic orbit;
simple lie;
flag manifolds;
lie groups;
orbit metrics
Journal Title: Comptes Rendus Mathematique
Year Published: 2018
Link to full text (if available)
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Journal Title: Comptes Rendus Mathematique
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!